t分布

本讲自测（占一定期末成绩）

1

【单选题】

关于t分布，以下说法不正确的是

•

A、

t分布是一种连续性分布

• B、

是以0为中心的对称分布

•

C、

t分布就是样本均数的分布

• D、

当自由度为无穷大时，t分布就是标准正态分布

•

E、

t分布的曲线形状固定

正确答案： E 我的答案：E得分：

3.3分

2

【单选题】

α=0.05, t＞t0.05,ν，统计上可认为（）

• A、

两总体均数差别无统计学意义

• B、

两样本均数差别无统计学意义

• C、

两总体均数差别有统计学意义

• D、

两样本均数差别有统计学意义

• E、

以上均不对

正确答案： C

我的答案：A得分： 0.0分

3

【单选题】

12名妇女分别用两种测量肺活量的仪器测最大呼气率(l/min)，比较两种方法检测结果有无差别，可进行：

•

A、

卡方检验

• B、

两独立样本t检验

• C、

配对卡方检验

• D、

配对样本t检验

正确答案： D 我的答案：D得分：

3.3分

4

【单选题】

两样本均数比较，经t 检验，差别有统计学意义时，P 越小，说明：

• A、

两样本均数差别越大

• B、

两总体均数差别越大

• C、

越有理由认为两总体均数不同

• D、

越有理由认为两样本均数不同

• E、

样本均数与总体均数不同

正确答案： C 我的答案：C得分： 3.3分

5

【单选题】

关于学生t分布，下面哪种说法不正确（ ）。

• A、

要求随机样本

• B、

适用于任何形式的总体分布

• C、

可用于小样本

• D、

可用样本标准差S代替总体标准差

正确答案： B 我的答案：B得分： 3.3分

6

【单选题】

在由两样本均数的差别推断两总体均数的差别的t检验中，检验假设的无效假设是： ( )

• A、

两样本均数差别无统计意义

• B、

两总体均数差别无统计意义

• C、

两样本均数相等

• D、

标准正态分布表0.00.000.010.020.030.040.050.060.070.080.090.10.50000.49600.49200.48800.48400.48010.47610.47210.46810.46410.20.46020.45620.45220.44830.44430.44040.43640.43250.42860.42470.30.42070.41680.41290.40900.40520.40130.39740.39360.38970.38590.40.38210.37830.37450.37070.36690.36320.35940.35570.35200.34830.50.34460.34090.33720.33360.33000.32640.32280.31920.31560.31210.60.30850.30500.30150.29810.29460.29120.28770.28430.28100.27760.70.27430.27090.26760.26430.26110.25780.25460.25140.24830.24510.80.24200.23890.23580.23270.22960.22660.22360.22060.21770.21480.90.21190.20900.20610.20330.20050.19770.19490.19220.18940.18671.00.18410.18140.17880.17620.17360.17110.16850.16600.16350.16111.10.15870.15620.15390.15150.14920.14690.14460.14230.14010.13791.20.13570.13350.13140.12920.12710.12510.12300.12100.11900.11701.30.11510.11310.11120.10930.10750.10560.10380.10200.10030.09851.40.09680.09510.09340.09180.09010.08850.08690.08530.08380.08231.50.08080.07930.07780.07640.07490.07350.07210.07080.06940.06811.60.06680.06550.06430.06300.06180.06060.05940.05820.05710.05591.70.05480.05370.05260.05160.05050.04950.04850.04750.04650.04551.80.04460.04360.04270.04180.04090.04010.03920.03840.03750.03671.90.03590.03510.03440.03360.03290.03220.03140.03070.03010.02942.00.02870.02810.02740.02680.02620.02560.02500.02440.02390.02332.10.02280.02220.02170.02120.02070.02020.01970.01920.01880.01832.20.01790.01740.01700.01660.01620.01580.01540.01500.01460.01432.30.01390.01360.01320.01290.01250.01220.01190.01160.01130.01102.40.01070.01040.01020.00990.00960.00940.00910.00890.00870.00842.50.00820.00800.00780.00750.00730.00710.00690.00680.00660.00642.60.00620.00600.00590.00570.00550.00540.00520.00510.00490.00482.70.00470.00450.00440.00430.00410.00400.00390.00380.00370.00362.83.47E-033.36E-033.26E-033.17E-033.07E-032.98E-032.89E-032.80E-032.72E-032.64E-032.92.56E-032.48E-032.40E-032.33E-032.26E-032.19E-032.12E-032.05E-031.99E-031.93E-033.01.87E-031.81E-031.75E-031.69E-031.64E-031.59E-031.54E-031.49E-031.44E-031.39E-033.11.35E-031.31E-031.26E-031.22E-031.18E-031.14E-031.11E-031.07E-031.04E-031.00E-033.29.68E-049.35E-049.04E-048.74E-048.45E-048.16E-047.89E-047.62E-047.36E-047.11E-043.36.87E-046.64E-046.41E-046.19E-045.98E-045.77E-045.57E-045.38E-045.19E-045.01E-043.44.83E-044.66E-044.50E-044.34E-044.19E-044.04E-043.90E-043.76E-043.62E-043.49E-043.53.37E-043.25E-043.13E-043.02E-042.91E-042.80E-042.70E-042.60E-042.51E-042.42E-043.62.33E-042.24E-042.16E-042.08E-042.00E-041.93E-041.85E-041.78E-041.72E-041.65E-043.71.59E-041.53E-041.47E-041.42E-041.36E-041.31E-041.26E-041.21E-041.17E-041.12E-043.81.08E-041.04E-049.96E-059.57E-059.20E-058.84E-058.50E-058.16E-057.84E-057.53E-053.97.23E-056.95E-056.67E-056.41E-056.15E-055.91E-055.67E-055.44E-055.22E-055.01E-054.04.81E-054.61E-054.43E-054.25E-054.07E-053.91E-053.75E-053.59E-053.45E-053.30E-054.13.17E-053.04E-052.91E-052.79E-052.67E-052.56E-052.45E-052.35E-052.25E-052.16E-054.22.07E-051.98E-051.89E-051.81E-051.74E-051.66E-051.59E-051.52E-051.46E-051.39E-054.31.33E-051.28E-051.22E-051.17E-051.12E-051.07E-051.02E-059.77E-069.34E-068.93E-064.48.54E-068.16E-067.80E-067.46E-067.12E-066.81E-066.50E-066.21E-065.93E-065.67E-064.55.41E-065.17E-064.94E-064.71E-064.50E-064.29E-064.10E-063.91E-063.73E-063.56E-064.63.40E-063.24E-063.09E-062.95E-062.81E-062.68E-062.56E-062.44E-062.32E-062.22E-064.72.11E-062.01E-061.92E-061.83E-061.74E-061.66E-061.58E-061.51E-061.43E-061.37E-064.81.30E-061.24E-061.18E-061.12E-061.07E-061.02E-069.68E-079.21E-078.76E-078.34E-074.97.93E-077.55E-077.18E-076.83E-076.49E-076.17E-075.87E-075.58E-075.30E-075.04E-07

附表4 t分布表

)}()({ntntP

n α=0.25 α=0.10 α=0.05 α=0.025 α=0.01 α=0.005

1 1.0000 3.0777 6.3138 12.7062 31.8207 63.6574

2 0.8165 1.8856 2.9200 4.3027 6.9646 9.9248

3 0.7649 1.6377 2.3534 3.1824 4.5407 5.8409

4 0.7407 1.5332 2.1318 2.7764 3.7469 4.6041

5 0.7267 1.4759 2.0150 2.5706 3.3649 4.0322

6 0.7176 1.4398 1.9432 2.4469 3.1427 3.7074

7 0.7111 1.4149 1.8946 2.3646 2.9980 3.4995

8 0.7064 1.3968 1.8595 2.3060 2.8965 3.3554

9 0.7027 1.3830 1.8331 2.2622 2.8214 3.2498

10 0.6998 1.3722 1.8125 2.2281 2.7638 3.1693

11 0.6974 1.3634 1.7959 2.2010 2.7181 3.1058

12 0.6955 1.3562 1.7823 2.1788 2.6810 3.0545

13 0.6938 1.3502 1.7709 2.1604 2.6503 3.0123

14 0.6924 1.3450 1.7613 2.1448 2.6245 2.9768

15 0.6912 1.3406 1.7531 2.1315 2.6025 2.9467

16 0.6901 1.3368 1.7459 2.1199 2.5835 2.9208

17 0.6892 1.3334 1.7396 2.1098 2.5669 2.8982

n0.250.20.150.10.050.0250.010.005111.3761.9633.0786.31412.7131.82636620.8161.0611.3861.8862.924.3036.9659.92530.7650.9781.251.6382.3533.1824.5415.84140.7410.9411.191.5332.1322.7763.7474.60450.7270.921.1561.4762.0152.5713.3654.03260.7180.9061.1341.441.9432.4473.1433.70770.7110.8961.1191.4151.8952.3652.9983.49980.7060.8891.1081.3971.862.3062.8963.35590.7030.8831.11.3831.8332.2622.8213.25100.70.8791.0931.3721.8122.2282.7643.169110.6970.8761.0881.3631.7962.2012.7183.106120.6950.8731.0831.3561.7822.1792.6813.055130.6940.871.0791.351.7712.162.653.012140.6920.8681.0761.3451.7612.1452.6242.977150.6910.8661.0741.3411.7532.1312.6022.947160.690.8651.0711.3371.7462.122.5832.921170.6890.8631.0691.3331.742.112.5672.898180.6880.8621.0671.331.7342.1012.5522.878190.6880.8611.0661.3281.7292.0932.5392.861200.6870.861.0641.3251.7252.0862.5282.845210.6860.8591.0631.3231.7212.082.5182.831220.6860.8581.0611.3211.7172.0742.5082.819230.6850.8581.061.3191.7142.0692.52.807240.6850.8571.0591.3181.7112.0642.4922.797250.6840.8561.0581.3161.7082.062.4852.787260.6840.8561.0581.3151.7062.0562.4792.779270.6840.8551.0571.3141.7032.0522.4732.771280.6830.8551.0561.3131.7012.0482.4672.763290.6830.8541.0551.3111.6992.0452.4622.756300.6830.8541.0551.311.6972.0422.4572.75400.6810.8511.051.3031.6842.0212.4232.704500.6790.8491.0471.2991.6762.0092.4032.678600.6790.8481.0451.2961.67122.392.66800.6780.8461.0431.2921.6641.992.3742.6391000.6770.8451.0421.291.661.9842.3642.6261200.6770.8451.0411.2891.6581.982.3582.617infty0.6740.84210361.2821.6451.962.3262.576分布表0.00250.001O.OOO5127.3318.3636.614.0922.3331.67.45310.2112.925.5987.1738.614.7735.8936.8694.3175.2085.9594.0294.7855.40838334.5015.0413.694.2974.7813.5814.1444.5873.4974.0254.4373.4283.934.3183.3723.8524.2213.3263.7874.143.2863.7334.0733.2523.6864.0153.2223.6463.9653.1973.613.9223.1743.5793.8833.1533.5523.853.1353.5273.8193.1193.5053.7923.1043.4853.7673.0913.4673.7453.0783.453.7253.0673.4353.7073.0573.4213.693.0473.4083.6743.0383.3963.6593.033.3853.6462.9713.3073.55129373.2613.4962.9153.2323.462.8873.1953.4162.8713.1743.392.863.163.3732.807